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42120132011034 = 23711261135870517
BaseRepresentation
bin10011001001110110110111…
…00000011010010000011010
312112010122102102100022212120
421210323123200122100122
521010044012243323114
6225325415503122110
711605036064562030
oct1144733340322032
9175118372308776
1042120132011034
111246a0584a5900
1248831b6ba3336
131a66bb048711c
14a588a7a36550
154d09945795a9
hex264edb81a41a

42120132011034 has 96 divisors (see below), whose sum is σ = 107557275977088. Its totient is φ = 10760944867200.

The previous prime is 42120132011033. The next prime is 42120132011159. The reversal of 42120132011034 is 43011023102124.

It is a junction number, because it is equal to n+sod(n) for n = 42120132010995 and 42120132011013.

It is not an unprimeable number, because it can be changed into a prime (42120132011033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67625257 + ... + 68245260.

It is an arithmetic number, because the mean of its divisors is an integer number (1120388291428).

Almost surely, 242120132011034 is an apocalyptic number.

42120132011034 is an abundant number, since it is smaller than the sum of its proper divisors (65437143966054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42120132011034 is a wasteful number, since it uses less digits than its factorization.

42120132011034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135870612 (or 135870601 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 42120132011034 its reverse (43011023102124), we get a palindrome (85131155113158).

The spelling of 42120132011034 in words is "forty-two trillion, one hundred twenty billion, one hundred thirty-two million, eleven thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 61 66 77 121 122 154 183 231 242 363 366 427 462 671 726 847 854 1281 1342 1694 2013 2541 2562 4026 4697 5082 7381 9394 14091 14762 22143 28182 44286 51667 103334 155001 310002 135870517 271741034 407611551 815223102 951093619 1494575687 1902187238 2853280857 2989151374 4483727061 5706561714 8288101537 8967454122 10462029809 16440332557 16576203074 20924059618 24864304611 31386089427 32880665114 49320997671 49728609222 58016710759 62772178854 91169116907 98641995342 115082327899 116033421518 174050132277 182338233814 230164655798 273507350721 345246983697 348100264554 547014701442 638183818349 690493967394 1002860285977 1276367636698 1914551455047 2005720571954 3008580857931 3829102910094 6017161715862 7020022001839 14040044003678 21060066005517 42120132011034